z-logo
Premium
Quasistatic frictional thermo‐piezoelectric contact problem
Author(s) -
Benaissa Hicham,
Benkhira ElHassan,
Fakhar Rachid,
Hachlaf Abdelhadi
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5442
Subject(s) - quasistatic process , coulomb's law , piezoelectricity , constitutive equation , dry friction , coulomb , mathematics , coulomb friction , unilateral contact , quasistatic approximation , classical mechanics , mathematical analysis , mechanics , physics , nonlinear system , materials science , finite element method , composite material , thermodynamics , quantum mechanics , electron
We consider here a mathematical model describing the bilateral frictional contact between a thermo‐piezoelectric body and a thermally conductive foundation. We model the behavior of the material with a linear thermo‐electro‐elastic constitutive law. The process is assumed to be quasistatic and the contact is modeled with a nonlocal version of Coulomb's dry friction law, in which the frictional heat generated in the process, is taken into account. We drive a variational formulation of the problem and establish the existence of its weak solution.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here